1. Chapter 9: Pricing Policy
Chapter 9
Pricing Policy
CHAPTER SUMMARY
The simplest way to set price is through uniform pricing. At the profit-
maximizing uniform price, the incremental margin percentage equals the
reciprocal of the absolute value of the price elasticity of demand. The most
profitable pricing policy is complete price discrimination, where each unit is
priced at the benefit that the unit provides to its buyer. To implement this policy,
however, the seller must know each potential buyer’s individual demand curve
and be able to set different prices for every unit of the product.
The next most profitable pricing policy is direct segment discrimination. For
this policy, the seller must be able to directly identify the various segments. The
third most profitable policy is indirect segment discrimination. This involves
structuring a set of choices around some variable to which the various segments
are differentially sensitive. Uniform pricing is the least profitable way to set a
price.
A commonly used basis for direct segment discrimination is location. This
exploits a difference between free on board and cost including freight prices. A
commonly used method of indirect segment discrimination is bundling. Sellers
may apply either pure or mixed bundling.
KEY CONCEPTS
uniform pricing free on board (FOB)
price discrimination delivered pricing
complete price discrimination cost including freight (CF)
segment bundling
indirect segment discrimination cannibalization
direct segment discrimination
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2. Chapter 9: Pricing Policy
GENERAL CHAPTER OBJECTIVES
1. Analyze uniform pricing and understand its limitations relative to price
discrimination.
2. Understand that cost-plus pricing fails to maximize profit.
3. Analyze complete price discrimination and its informational requirements.
4. Analyze direct segment discrimination and its implementation and
informational requirements.
5. Explain how location can be used as a basis for direct segment discrimination.
6. Analyze indirect segment discrimination and its implementation and
informational requirements.
7. Explain how bundling serves to effect indirect segment discrimination.
8. Explain how the discriminating variable should be set.
9. Appreciate the hierarchy of pricing policies in terms of profitability and
information requirement: (i) complete price discrimination; (ii) direct segment
discrimination; (iii) indirect segment discrimination; and (iv) uniform pricing.
NOTES
1. Uniform pricing.
(a) Uniform pricing: a pricing policy where a seller charges the same price
for every unit of the product.
(b) Profit maximizing price (incremental margin percentage rule):
a price where the incremental margin percentage (i.e., price less
marginal cost divided by the price) is equal to the reciprocal of the
absolute value of the price elasticity of demand. This is the rule of
marginal revenue equals the marginal cost.
i. Price elasticity may very along a demand curve, marginal cost
changes with scale of production. The above procedure
typically involves a series of trials and errors with different
prices.
ii. Intuitive factors that underlie price elasticity: direct and indirect
substitutes, buyers’ prior commitments, search cost.
(c) Price adjustments following changes in demand and cost.
i. To maximize profits, a seller should consider both demand and
costs.
ii. A seller should adjust its price to changes in either the price
elasticity or the marginal cost.
iii. It must consider the effect of the price change on the quantity
demanded.
iv. If demand is more elastic (price elasticity will be a larger
negative number), the seller should aim for a lower incremental
margin percentage, and not necessarily a lower price, and
likewise,
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3. Chapter 9: Pricing Policy
v. If demand is less elastic, the seller should aim for a higher
incremental margin percentage, and not necessarily a higher
price.
vi. A seller should not necessarily adjust the price by the same
amount as a change in marginal cost.
(d) Special notes.
i. Only the incremental margin percentage (i.e., price less
marginal cost divided by the price) is relevant to pricing.
(1). Contribution margin percentage (i.e., price less average
variable cost divided by the price) is not relevant to
pricing.
(2). Variable costs may increase or decrease with the scale
of production, and hence, marginal cost will not be the
same as average variable cost.
ii. Setting price by simply marking up average cost will not
maximize profit. Problems of cost plus pricing:
(1). In businesses with economies of scale, average cost
depends on scale, but scale depends on price. It is a
circular exercise.
(2). Cost plus pricing gives no guidance as to the markup on
average cost.
(e) Limitations of uniform pricing (incremental margin percentage rule).
i. The inframarginal buyers do not pay as much as they will be
willing to pay. A seller could increase its profit by taking some
of the buyer surplus.
ii. Economically inefficient quantity of sales. By providing the
product to everyone whose marginal benefit exceeds marginal
cost, the seller could earn more profit.
2. Price discrimination. Pricing policy where a seller sets different
incremental margins on various units of the same or similar product.
(a) To earn a higher incremental margin from buyers with higher benefit,
and a smaller margin from buyers with lower benefit.
3. Complete price discrimination: the pricing policy where a seller prices
each unit of output at the buyer’s benefit and sells a quantity where the
marginal benefit equals the marginal cost.
(a) All the buyer surplus is extracted. Every buyer is charged the maximum
she is willing for pay for each unit.
(b) Economically efficient quantity: all the opportunity for additional profit
through changes in sales is exploited.
(c) Extracts a higher price for units that would be sold under uniform
pricing and extends sales by selling additional units that would not be
sold.
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4. Chapter 9: Pricing Policy
(d) Requires information about each potential buyer’s entire individual
demand curve.
4. Direct segment discrimination: The pricing policy where a seller charges
a different incremental margin to each identifiable segment (with uniform
pricing within each segment). A segment is a significant group of buyers
within a larger market.
(a) Profit maximizing price: set prices so that the incremental margin
percentage of each segment equals the reciprocal of the absolute value
of that segment’s price elasticity of demand; i.e., applies the rule for
uniform pricing to determine the profit maximizing prices for each
segment.
(b) When marginal cost is increasing, any change in price for one segment
that affects sales will affect (a) marginal cost, and (b) the incremental
margin percentage for the other segment. Accordingly, the seller must
conduct the trial and errors search for the prices to both segments at
the same time.
(c) A seller can discriminate on the basis of a buyer’s location.
i. Free on board (FOB) price is a price that does not include
delivery.
(1). FOB pricing ignores the differences between the price
elasticities of demand in various markets.
(2). The differences among prices at various locations equal
the differences in costs of delivery.
ii. Delivered pricing is the pricing policy where the seller’s price
includes delivery. A cost including freight (CF) price is one that
includes delivery.
(1). The seller can implement direct segment discrimination,
aim for different incremental margin percentages in
each market, and obtain higher profit.
(2). The differences among prices at various locations are
the result of the different incremental margin
percentages and the different marginal costs of
supplying the various markets, and may be larger or
smaller than the costs of delivery.
(d) Requirements.
i. Must directly identify the members of each segment. The
identifiable buyer characteristic must be fixed.
ii. Must prevent buyers from reselling the product among
themselves.
(1). Generally, resale of services is more difficult than resale
of goods, hence there is more price discrimination in
services than goods.
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5. Chapter 9: Pricing Policy
(2). Sellers can limit resale of goods by restricting warranty
service to the location of purchase.
(e) Limitations. For each segment, same limitations as uniform pricing.
5. Indirect segment discrimination: Pricing policy where a seller (who
cannot directly identify the customer segments) structures a choice for
buyers so as to earn different incremental margins from each segment.
(a) Profit maximizing price.
i. There is no simple rule to find the profit maximizing prices.
ii. Buyers might substitute among the various choices.
Accordingly, the seller must analyze how changes in the price of
one product affect the demand for other choices, and set the
prices of all products at the same time. The seller must not
price any product in isolation.
(b) Requirements.
i. Buyers must be differentially sensitive to some variable that the
seller can control. The seller then uses this variable to structure
a set of choices that will discriminate among the segments.
ii. Buyers must not be able to circumvent the differentiating
variable. The seller must strictly enforce all conditions of sale to
prevent switching.
iii. Cannibalization occurs when the sales of one product reduce
the demand for another with a higher incremental margin.
(1). Mitigate cannibalization by degrading the quality of the
low margin product.
(c) Less profitable than direct price discrimination.
i. Products provide less benefit than those with direct
discrimination.
ii. Involves relatively higher costs.
iii. Leakage: indirect discrimination relies on various segments to
voluntarily identify themselves through the structured choice.
But consumers in one segment may buy the item aimed at
another segment.
6. Profit ranking.
Policy Profitability Information
requirement
Complete price Highest Lowest
discrimination
Direct segment Seller discriminates (Exception: when all
discrimination directly on the buyers within the same
buyer’s attributes. segment are identical.
Seller can identify In such a case, profit
each buyer equals that with
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6. Chapter 9: Pricing Policy
segment and complete price
prevent one discrimination.)
segment from
buying the product
targeted at another
segment.
Indirect Uses product
segment attributes to
discrimination discriminate
indirectly among
various buyer
segments
Uniform pricing Lowest Highest
7. Bundling.
(a) Bundling: one method of indirect segment discrimination that
deliberately restricts buyer choices. This is the combination of two or
more products into one package with a single price.
i. Pure bundling: the pricing policy where the seller offers the
products only as a bundle.
ii. Mixed bundling: the seller offers the products as a bundle and
also separately.
(b) There is no simple general rule to set the prices.
(c) Bundling is more profitable where:
i. The benefits of the segments from the products are negatively
correlated, i.e., a product that is extremely beneficial to one
segment provides relatively little benefit to another (the benefit
from the bundle will be relatively less disparate across the
segments than the benefits from the separate products); and
ii. The marginal cost of the product is low (relatively little
economic inefficiency will accrue from providing the bundle to
all buyers).
(d) When marginal cost is substantial, mixed bundling should be
considered. By structuring a choice among the bundle and the separate
products, various segments will identity themselves by their product
choice. The economic inefficiency of providing a product for which the
marginal cost is less than the buyer’s benefit can be avoided.
ANSWERS TO PROGRESS CHECKS
9A. The profit-maximizing price is 63,000 yen.
9B. The market buyer surplus is the area agc.
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7. Chapter 9: Pricing Policy
9C. Area adb = 31.25 million yen. Area bec = 31.25 million yen.
9D. See Figure 9D on page 541 of the text.
9E. The Japanese CF price = 50,000 yen = $500. The difference with the
American price = $150.
9F. No, the two segments will not be differentially sensitive.
9G. Price the bundle at $22 and the educational channel at $19.
9H. The maximum price of the large bottle = $3.74.
ANSWERS TO REVIEW QUESTIONS
1. Not necessarily. It should set a higher incremental margin on private-label
cola.
2. The profit-maximizing uniform price = $2.50.
3. No. It should reduce price by an amount less than $10 that depends on the
price elasticity of demand.
4. [omitted].
5. Equal.
6. The price in Germany = $3.30; the price in South Africa = $1.80.
7. For publications, it would be easier to discriminate against newspapers
because they have time value and are priced low relative to transportation
cost.
8. The demand is relatively more price elastic in Singapore, so Microsoft should
price with a lower incremental margin in Singapore.
9. [omitted].
10. This is an example of mixed bundling. Those who already subscribe to the
print edition have relatively lower willingness to pay (more inelastic demand)
for the online edition.
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8. Chapter 9: Pricing Policy
11. Indirect segment discrimination among segments with different sensitivity to
quantity of service.
12. Those who are renting at the expense of others are less sensitive to the price
of gasoline sold by Hertz and more sensitive to the inconvenience of filling up
at a gas station. They are more likely to buy gasoline from Hertz.
13. The Economist comment points to segments with negatively correlated
preferences. This is a condition under which bundling is especially profitable.
14. Consumers with small appetites prefer a la carte to buffets; big eaters prefer
the buffets. The result is indirect segment discrimination.
15. (a) and (b).
WORKED ANSWER TO SAMPLE DISCUSSION QUESTION
Magazines are distributed through both newsstands and subscriptions. They
derive revenue from both selling the publication and advertising. Many also
publish their content through the World Wide Web.
a. The larger a title's circulation, the more its publisher can charge for
advertising. How should a publisher take account of this factor in setting
the cover price of a magazine?
b. From the reader's standpoint, what are the differences between buying at
a newsstand and through subscription? How should a publisher price
subscriptions relative to newsstand sales?
c. The Web edition is particularly beneficial to business executives who
travel frequently and subscribers in locations that are poorly served by
mail delivery from the magazine printers. Should a magazine provide the
Web edition free to subscribers or levy an additional charge for it?
Answer
(a) The publisher should consider marginal revenue in two forms -- magazine
sales and advertising. In setting the cover price, the publisher should
balance the marginal revenue from both sales and advertising with the
marginal cost of producing and delivering the publication.
(b) For the reader, subscription is more convenient as it includes delivery. On
the other hand, a subscription locks in the reader so that he cannot pick
and choose according to the content of particular issues. These two
factors have conflicting effects on the reader’s willingness to pay for
subscriptions vis-à-vis newsstand purchases.
(c) There appear to be several segments in the demand for the Web edition:
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9. Chapter 9: Pricing Policy
(i) business executives who travel frequently; (ii) subscribers in locations
that are poorly served by mail delivery from the magazine printers; and
(iii) non-business subscribers in locations well-served by mail delivery.
The magazine can directly identify segment (ii) and offer them the Web
edition at no charge. However, the magazine cannot directly identify
segment (i). It can indirectly discriminate by levying a charge for the
Web edition.
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